{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FractionalFlow"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "WARNING: deprecated syntax \"typealias UInt8 Uint8\" at /home/ali/.julia/v0.6/CoolProp/src/../deps/lib/CoolProp.jl:9.\n",
      "Use \"const UInt8 = Uint8\" instead.\n",
      "\n",
      "WARNING: deprecated syntax \"typealias Ref Ptr\" at /home/ali/.julia/v0.6/CoolProp/src/../deps/lib/CoolProp.jl:10.\n",
      "Use \"const Ref = Ptr\" instead.\n",
      "\n",
      "WARNING: deprecated syntax \"typealias AbstractString String\" at /home/ali/.julia/v0.6/CoolProp/src/../deps/lib/CoolProp.jl:12.\n",
      "Use \"const AbstractString = String\" instead.\n",
      "\u001b[1m\u001b[33mWARNING: \u001b[39m\u001b[22m\u001b[33mArray(::Type{T}, m::Int) where T is deprecated, use Array{T}(m) instead.\u001b[39m\n",
      "Stacktrace:\n",
      " [1] \u001b[1mdepwarn\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::String, ::Symbol\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./deprecated.jl:70\u001b[22m\u001b[22m\n",
      " [2] \u001b[1mArray\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::Type{UInt8}, ::Int64\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./deprecated.jl:57\u001b[22m\u001b[22m\n",
      " [3] \u001b[1minclude_from_node1\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::String\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./loading.jl:576\u001b[22m\u001b[22m\n",
      " [4] \u001b[1minclude\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::String\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./sysimg.jl:14\u001b[22m\u001b[22m\n",
      " [5] \u001b[1minclude_from_node1\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::String\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./loading.jl:576\u001b[22m\u001b[22m\n",
      " [6] \u001b[1meval\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::Module, ::Any\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./boot.jl:235\u001b[22m\u001b[22m\n",
      " [7] \u001b[1m_require\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::Symbol\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./loading.jl:490\u001b[22m\u001b[22m\n",
      " [8] \u001b[1mrequire\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::Symbol\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./loading.jl:405\u001b[22m\u001b[22m\n",
      " [9] \u001b[1minclude_string\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::String, ::String\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./loading.jl:522\u001b[22m\u001b[22m\n",
      " [10] \u001b[1mexecute_request\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::ZMQ.Socket, ::IJulia.Msg\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m/home/ali/.julia/v0.6/IJulia/src/execute_request.jl:180\u001b[22m\u001b[22m\n",
      " [11] \u001b[1m(::Compat.#inner#14{Array{Any,1},IJulia.#execute_request,Tuple{ZMQ.Socket,IJulia.Msg}})\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m/home/ali/.julia/v0.6/Compat/src/Compat.jl:332\u001b[22m\u001b[22m\n",
      " [12] \u001b[1meventloop\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m::ZMQ.Socket\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m/home/ali/.julia/v0.6/IJulia/src/eventloop.jl:8\u001b[22m\u001b[22m\n",
      " [13] \u001b[1m(::IJulia.##15#18)\u001b[22m\u001b[22m\u001b[1m(\u001b[22m\u001b[22m\u001b[1m)\u001b[22m\u001b[22m at \u001b[1m./task.jl:335\u001b[22m\u001b[22m\n",
      "while loading /home/ali/.julia/v0.6/CoolProp/src/../deps/lib/CoolProp.jl, in expression starting on line 17\n"
     ]
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, NLopt, Dierckx, CoolProp\n",
    "import Calculus\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experimental data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9.208618977598095e-7"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L_core = 0.104\n",
    "D_core = 0.025\n",
    "poros  = 0.256\n",
    "A_core  = π*D_core^2/4\n",
    "V_core = A_core*L_core\n",
    "PV_core = L_core*A_core*poros\n",
    "\n",
    "swinit     = 0.334 # 0.334\n",
    "swi = (1-swinit)*0.610+swinit\n",
    "soi     = 1-swi\n",
    "T_c     = 55.6\n",
    "mu_oil = 0.000402 # 1.04e-3*1.15 # *1.15 for temperature effect (70 -> 55)\n",
    "T_K = T_c + 273.15\n",
    "perm_ave = 0.001e-12 # m^2 permeability\n",
    "p0 = 2000/14.7*1e5\n",
    "mu_water = 0.00116 # PropsSI(\"viscosity\", \"T\", T_K, \"P\", p0, \"H2O\")\n",
    "pv_inj_R_exp = [9.129, 9.969, 10.204, 10.574, 11.406, 12.499, 14.110, 15.471, 16.834, 17.612]-9.129\n",
    "R_oil_exp = [0.610, 0.693, 0.769, 0.828, 0.866, 0.900, 0.938, 0.945, 0.948, 0.952]-0.610\n",
    "R_oil_exp_int = Spline1D(pv_inj_R_exp, R_oil_exp, k=1)\n",
    "pv_inj_dp = [9.129, 9.194, 9.194, 9.194, 9.323, 9.516, 9.645, 9.710,\n",
    "9.839, 9.903, 10.290, 10.290, 10.290, 10.484, 10.548, 10.548, 10.548, 11.065,\n",
    "12.032, 12.742, 13.774, 14.226, 14.484, 15.387, 16.355, 17.323]-9.129\n",
    "dp_exp = [0.095, 0.150, 0.205,\n",
    "0.257, 0.309, 0.357, 0.412, 0.464, 0.516, 0.571, 0.622, 0.571, 0.516, 0.447, 0.495, 0.512,\n",
    "0.571, 0.612, 0.626, 0.657, 0.643, 0.698, 0.647, 0.664, 0.657, 0.657]*20*1e5\n",
    "\n",
    "# estimate the injection rate\n",
    "# a, b = linreg(pv_inj_R_exp[1:4], R_oil_exp[1:4])\n",
    "# u_est = b*(1-swi)*poros*V_core/A_core\n",
    "# u_est =  dp_exp[1]/L_core*perm_ave/(mu_oil*1.5)\n",
    "# u_est = 73200/L_core*perm_ave/mu_water*0.8 # multiplie by an estimated relperm\n",
    "u_est = 9/(74*3600)*13.38e-6/A_core # estimated by comparing two figures from different papers\n",
    "# the injection velocity seems to be 1 ft/day real velocity (not Darcy)\n",
    "\n",
    "pv_inj_exp = pv_inj_dp[:] # same as the time steps for the dp\n",
    "R_oil = R_oil_exp_int(pv_inj_exp) # just to have both dp and R for the same time steps\n",
    "\n",
    "pv_inj = pv_inj_exp[end]\n",
    "# injection_rate = 0.00011/(3600*24) # \n",
    "injection_rate = u_est*A_core # 0.001/(3600*24) # m^3/day\n",
    "recovery_final = R_oil_exp[end]\n",
    "\n",
    "so_final = (1-recovery_final)*soi # final oil saturation\n",
    "\n",
    "t_sec = pv_inj_exp*PV_core/injection_rate\n",
    "\n",
    "# conversion of the input data to the right unit\n",
    "u_inj   = injection_rate/A_core # Darcy velocity\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Water-flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2+61Wq5g7d64ICwsTarVajB49WhQVFTn0eeWcwkEIIf6176yISl0vHvpgtyx/n4iIqD1q7u+3QgghZMx4bsVkMkGr1cJoNMoyPuvoBRPuXfINNN6eODB/LBQKRav3QERE1N409/e7zY3JIue5PdQPHkoFTLUWGExtf6Z6IiKi9owhy42oPT0Q3dEPAAe/ExERORtDlpuJ5aSkRERErYIhy83E/TQpKV+vQ0RE5FwMWW4mlnNlERERtQqGLDcT99OLok9erIKlwSpzN0RERK6LIcvNRAT5wFflgTqLFacvV8vdDhERkctiyHIzSqUC3cJ4y5CIiMjZGLLcUNPgdz5hSERE5DwMWW6I0zgQERE5H0OWG4prClmlDFlERETOwpDlhpquZJ0pr0FNnUXmboiIiFwTQ5Yb6uCvRkd/FYQAfiitkrsdIiIil8SQ5aZ+HpdlkrkTIiIi18SQ5aZiwxonJS0y8EoWERGRMzBkuamfB7/zShYREZEzMGS5KU7jQERE5FwMWW6qW5g/FArgUlUdLlWZ5W6HiIjI5TBkuSlflSe6BPsC4NUsIiIiZ2DIcmOxfIchERGR0zBkubGmwe8/MGQRERG1OIYsNxara5zG4Thfr0NERNTiGLLcWNMThidKK2G1Cpm7ISIici0MWW6sawdfqDyVqKlrwNkrNXK3Q0RE5FIYstyYp4cSMSH+ADj4nYiIqKUxZLk5Dn4nIiJyDoYsN9c0LouD34mIiFoWQ5ab4+t1iIiInIMhy801haziS9UwWxpk7oaIiMh1MGS5OZ3GGxpvTzRYBU6WVcndDhERkctgyHJzCoUCcT9NSspbhkRERC2HIYt+HpfFwe9EREQthiGLOPidiIjICRiyiCGLiIjICRiyCN3DGkNWibEWxpp6mbshIiJyDbKGrA8++AB9+/aFRqOBRqOBXq/Hpk2bpP21tbVISUlBhw4d4O/vj4kTJ6K0tNTmHAqF4rolKyvLpmbHjh0YMGAA1Go1YmJi8PHHH1/Xy/vvv4+uXbvC29sb8fHx+O6772z229NLe6X18UK41hsAx2URERG1FFlDVkREBDIyMlBQUIC9e/di1KhRmDBhAo4cOQIAmD17NtatW4fs7Gzk5ubiwoULePDBB687z8qVK1FSUiItSUlJ0r7i4mKMHz8ed999NwoLCzFr1iw8+eST2LJli1SzZs0azJkzB/Pnz8e+ffvQr18/JCYmoqysTKqxt5f2ioPfiYiIWphoY4KCgsSKFStERUWF8PLyEtnZ2dK+Y8eOCQAiLy9P2gZArF279lfP99JLL4levXrZbHv44YdFYmKitD5kyBCRkpIirTc0NIjw8HCRnp4uhBB293IzRqNRABBGo9HuY1pL+sZjIip1vXh17UG5WyEiImpTmvv73WbGZDU0NCArKwvV1dXQ6/UoKChAfX09EhISpJq4uDh06dIFeXl5NsempKSgY8eOGDJkCD766CMIIaR9eXl5NucAgMTEROkcdXV1KCgosKlRKpVISEiQahzppb2K1fkD4OB3IiKiluIpdwOHDh2CXq9HbW0t/P39sXbtWvTs2ROFhYVQqVQIDAy0qQ8LC4PBYJDW33jjDYwaNQq+vr7YunUrnnvuOVRVVWHmzJkAAIPBgLCwsOvOYTKZcPXqVVy5cgUNDQ03rDl+/Lh0Dnt6+SWz2Qyz2Sytm0wmB76Z1hUb1jgh6XFDJYQQUCgUMndERETUvskesmJjY1FYWAij0YjPP/8cU6ZMQW5urt3Hz507V/p3//79UV1djczMTClkySk9PR2vv/663G3Y5fZQP3goFaistaDEWIvwQB+5WyIiImrXZL9dqFKpEBMTg4EDByI9PR39+vXD4sWLodPpUFdXh4qKCpv60tJS6HS6Xz1ffHw8zp07J11B0ul01z0FWFpaCo1GAx8fH3Ts2BEeHh43rGn6O83tJS0tDUajUVrOnj178y9EJmpPD9zW0Q8AbxkSERG1BNlD1i9ZrVaYzWYMHDgQXl5e2LZtm7SvqKgIZ86cgV6v/9XjCwsLERQUBLVaDQDQ6/U25wCAnJwc6RwqlQoDBw60qbFardi2bZtU09xe1Gq1ND1F09KW8QlDIiKiliPr7cK0tDSMGzcOXbp0QWVlJVatWoUdO3Zgy5Yt0Gq1mDZtGubMmYPg4GBoNBo8//zz0Ov1GDp0KABg3bp1KC0txdChQ+Ht7Y2cnBy89dZbePHFF6W/8cwzz+C9997DSy+9hCeeeALbt2/HZ599hg0bNkg1c+bMwZQpUzBo0CAMGTIE77zzDqqrqzF16lQAsKsXVxCnC8D6gyW8kkVERNQCZA1ZZWVlmDx5MkpKSqDVatG3b19s2bIFY8aMAQAsWrQISqUSEydOhNlsRmJiIpYuXSod7+Xlhffffx+zZ8+GEAIxMTH4y1/+gqeeekqqiY6OxoYNGzB79mwsXrwYERERWLFiBRITE6Wahx9+GBcvXsS8efNgMBhwxx13YPPmzTaD4W/Wiytomvn9OEMWERHRLVOIa+c7IKcymUzQarUwGo1t8tbhmcs1GJn5NVQeShx5IxFeHm3ubjIREVGra+7vt11XspYsWeJwQ1OnTkVAQIDDx5F8IoJ84KvyQE1dA05fqka3MP7/IyIiai67QtasWbMQEREBDw8Pu0569uxZ3HfffQxZ7YxSqUD3sAAUnq1AUWklQxYREdEtsHtM1t69exEaGmpXLcNV+xWn+ylkGSpxX1+5uyEiImq/7Bp0M3/+fPj7+9t90ldeeQXBwcHNborkw8HvRERELcOuK1nz58936KRpaWnNaobkF9c0VxZDFhER0S3h42Nko2lC0jPlNag2W2TuhoiIqP1q1jxZn3/+OT777DOcOXMGdXV1Nvv27dvXIo2RPDr4q9HRX41LVWb8UFqJ/l2C5G6JiIioXXL4StaSJUswdepUhIWFYf/+/RgyZAg6dOiAH3/8EePGjXNGj9TKmm4Z/sDX6xARETWbwyFr6dKlWL58Od59912oVCq89NJLyMnJwcyZM2E0Gp3RI7UyDn4nIiK6dQ6HrDNnzuDOO+8EAPj4+KCysvGH+A9/+ANWr17dst2RLDj4nYiI6NY5HLJ0Oh3Ky8sBAF26dMGePXsAAMXFxeAbelxDLEMWERHRLXM4ZI0aNQpfffUVgMZX58yePRtjxozBww8/jN///vct3iC1vu5hAVAogMvVdbhYaZa7HSIionbJ4acLly9fDqvVCgBISUlBhw4dsHv3bjzwwAOYPn16izdIrc9H5YGoYF+cvlyDH0orERKglrslIiKidsfhkKVUKqFU/nwB7JFHHsEjjzzSok2R/GJ1ATh9uQbHDZUYFtNR7naIiIjaHbtvF1ZXV+PZZ59F586dERISgkceeQQXL150Zm8ko9iwpnFZJpk7ISIiap/sDllz587Fp59+ivvuuw+PPfYYtm/fjqefftqZvZGMYnUaABz8TkRE1Fx23y5cu3YtVq5ciYceeghA45QNQ4cOhcVigadnsyaOpzYsVpqQtApWq4BSqZC5IyIiovbF7itZ586dw7Bhw6T1gQMHwsvLCxcuXHBKYySvrh18ofJU4mp9A86U18jdDhERUbtjd8iyWq3w8vKy2ebp6YmGhoYWb4rk5+mhRLdQfwBAEV+vQ0RE5DC77/MJITB69GibW4M1NTW4//77oVKppG18QbTriA0LwJELJhQZKpHYSyd3O0RERO2K3SFr/vz5122bMGFCizZDbQtnficiImq+WwpZ5NqaQtZxTuNARETkMIdfq0PuI+6naRxOX65BbT3H3hERETnCrpA1YMAAXLlyxe6TDh8+HOfPn292U9Q2hGnU0Pp4ocEqcOpildztEBERtSt23S4sLCzEgQMHEBwcbNdJCwsLYTbzxcLtnUKhQGxYAL47XY4iQyV6hWvlbomIiKjdsHtM1ujRoyGEsKtWoeDEla4iVvdzyCIiIiL72RWyiouLHT5xRESEw8dQ2/Pz4HeGLCIiIkfYFbKioqKc3Qe1UXGcxoGIiKhZ+HQh/abuP4Usg6kWxpp6mbshIiJqPxiy6DdpvL0QrvUGwNfrEBEROYIhi27q55nfOSkpERGRvRiy6KZif5qUlIPfiYiI7Gf3FA6/tHfvXhw7dgwA0KNHDwwaNKjFmqK2hYPfiYiIHOdwyDp37hwmTZqEXbt2ITAwEABQUVGBO++8E1lZWZy6wQVJtwtLKyGE4DxoREREdnD4duGTTz6J+vp6HDt2DOXl5SgvL8exY8dgtVrx5JNPOqNHktntIf7wVCpQWWtBibFW7naIiIjaBYevZOXm5mL37t2IjY2VtsXGxuLdd9/FiBEjWrQ5ahtUnkpEd/TDibIqFBkqER7oI3dLREREbZ7DV7IiIyNRX3/9fEkNDQ0IDw936FwffPAB+vbtC41GA41GA71ej02bNkn7a2trkZKSgg4dOsDf3x8TJ05EaWmpzTnOnDmD8ePHw9fXF6GhofjTn/4Ei8ViU7Njxw4MGDAAarUaMTEx+Pjjj6/r5f3330fXrl3h7e2N+Ph4fPfddzb77enFlXHmdyIiIsc4HLIyMzPx/PPPY+/evdK2vXv34oUXXsCf//xnh84VERGBjIwMFBQUYO/evRg1ahQmTJiAI0eOAABmz56NdevWITs7G7m5ubhw4QIefPBB6fiGhgaMHz8edXV12L17N/7+97/j448/xrx586Sa4uJijB8/HnfffTcKCwsxa9YsPPnkk9iyZYtUs2bNGsyZMwfz58/Hvn370K9fPyQmJqKsrEyquVkvri6O0zgQERE5RjgoMDBQqFQqoVQqhUqlsvl3UFCQzdIcQUFBYsWKFaKiokJ4eXmJ7Oxsad+xY8cEAJGXlyeEEGLjxo1CqVQKg8Eg1XzwwQdCo9EIs9kshBDipZdeEr169bL5Gw8//LBITEyU1ocMGSJSUlKk9YaGBhEeHi7S09OFEMKuXuxhNBoFAGE0Gu0+pq3YesQgolLXi8RFuXK3QkRE1Kqa+/vt8Jisd955p6VzHoDGq1LZ2dmorq6GXq9HQUEB6uvrkZCQINXExcWhS5cuyMvLw9ChQ5GXl4c+ffogLCxMqklMTMSzzz6LI0eOoH///sjLy7M5R1PNrFmzAAB1dXUoKChAWlqatF+pVCIhIQF5eXkAYFcvN2I2m2E2m6V1k6n9XgVqupJ16mIV6hus8PLgFGtERES/xeGQNWXKlBZt4NChQ9Dr9aitrYW/vz/Wrl2Lnj17orCwECqVSpomoklYWBgMBgMAwGAw2ASspv1N+36rxmQy4erVq7hy5QoaGhpuWHP8+HHpHDfr5UbS09Px+uuv2/tVtGmdA33gq/JATV0DTl+qRrewALlbIiIiatOaNRlpQ0MDvvjiC2ky0l69euGBBx6Ah4eHw+eKjY1FYWEhjEYjPv/8c0yZMgW5ubnNaavNSUtLw5w5c6R1k8mEyMhIGTtqPqVSge5hASg8W4HjhkqGLCIioptwOGSdPHkS9957L86fPy9N45Ceno7IyEhs2LABt99+u0PnU6lUiImJAQAMHDgQ33//PRYvXoyHH34YdXV1qKiosLmCVFpaCp1OBwDQ6XTXPQXY9MTftTW/fAqwtLQUGo0GPj4+8PDwgIeHxw1rrj3HzXq5EbVaDbVa7dD30ZbF6RpDVpGhEvf3k7sbIiKits3hgTUzZ87E7bffjrNnz2Lfvn3Yt28fzpw5g+joaMycOfOWG7JarTCbzRg4cCC8vLywbds2aV9RURHOnDkDvV4PANDr9Th06JDNU4A5OTnQaDTo2bOnVHPtOZpqms6hUqkwcOBAmxqr1Ypt27ZJNfb04g44jQMREZEDHB1h7+vrKw4ePHjd9sLCQuHn5+fQuV5++WWRm5sriouLxcGDB8XLL78sFAqF2Lp1qxBCiGeeeUZ06dJFbN++Xezdu1fo9Xqh1+ul4y0Wi+jdu7cYO3asKCwsFJs3bxYhISEiLS1Nqvnxxx+Fr6+v+NOf/iSOHTsm3n//feHh4SE2b94s1WRlZQm1Wi0+/vhjcfToUfH000+LwMBAm6cWb9aLPdrz04VCCLHr5EURlbpeDH97m9ytEBERtZpWe7pQrVajsvL6KxlVVVVQqVQOnaumo5S6AAAgAElEQVSsrAyTJ09GSUkJtFot+vbtiy1btmDMmDEAgEWLFkGpVGLixIkwm81ITEzE0qVLpeM9PDywfv16PPvss9Dr9fDz88OUKVPwxhtvSDXR0dHYsGEDZs+ejcWLFyMiIgIrVqxAYmKiVPPwww/j4sWLmDdvHgwGA+644w5s3rzZZjD8zXpxB7E/jcM6W34V1WYL/NTNfr84ERGRy1MIIYQjB0yePBn79u3D3/72NwwZMgQAkJ+fj6eeegoDBw684Wzq1MhkMkGr1cJoNEKj0cjdTrMMevPfuFRlxtrn7kT/LkFyt0NEROR0zf39dnhM1pIlS3D77bdDr9fD29sb3t7eGDZsGGJiYrB48WJHT0ftzM8zv3NcFhER0W9x+H5PYGAgvvzyS5w8eVKawqFHjx7SE4Lk2mJ1Afj25CUOficiIroJh0JWfX094uLisH79egYrN9V0JetoSfudvZ6IiKg1OHS70MvLC7W1tc7qhdqB3p21AICjF0ywWh0azkdERORWHB6TlZKSgrfffhsWi8UZ/VAb1y3UH2pPJarMFhRfrpa7HSIiojbL4TFZ33//PbZt24atW7eiT58+8PPzs9n/r3/9q8Wao7bH00OJnuEa7D9TgcPnjbg9xF/uloiIiNqkZg18nzhxojN6oXaiT2ct9p+pwKFzRky4o7Pc7RAREbVJDoeslStXOqMPakf6/DQu6+B5o8ydEBERtV0Oj8ki6hPBwe9EREQ3Y9eVrP79+0OhUNh1wn379t1SQ9T2xYT4w9vr58HvHJdFRER0PbtCVlJSkvTv2tpaLF26FD179oRerwcA7NmzB0eOHMFzzz3nnC6pTfH0UKJnJw32cfA7ERHRr7IrZM2fP1/695NPPomZM2fif/7nf66rOXv2bMt2R21Wn85a7OPgdyIiol/l8Jis7OxsTJ48+brtjz/+OP75z3+2SFPU9vXm4HciIqLf5HDI8vHxwa5du67bvmvXLnh7e7dIU9T29Y0IBAAcOW9EAwe/ExERXcfhKRxmzZqFZ599Fvv27cOQIUMAAPn5+fjoo48wd+7cFm+Q2qaYUH/4qz1RZbbgh9JK9OikkbslIiKiNsXhkPXyyy/jtttuw+LFi/F///d/AIAePXpg5cqVSE5ObvEGqW3yUCrQL1KLXScvY9+ZKwxZREREv+BwyAKA5ORkBirCgC5BjSHrPxV4LD5K7naIiIjaFE5GSs02oEsQAGD/mSsyd0JERNT2MGRRs/Xv0jj4/cdL1SivrpO5GyIioraFIYuaLdBXhdtD/ADwahYREdEvMWTRLWm6ZbiPIYuIiMhGs0NWXV0dioqKYLFYWrIfamcGRP0Usv5TIXMnREREbYvDIaumpgbTpk2Dr68vevXqhTNnzgAAnn/+eWRkZLR4g9S2NV3JOnCuApYGq8zdEBERtR0Oh6y0tDQcOHAAO3bssJnhPSEhAWvWrGnR5qjt6xbqjwC1J2rqGnDcUCl3O0RERG2GwyHriy++wHvvvYfhw4dDoVBI23v16oVTp061aHPU9imVCgzs2ng1K7+4XOZuiIiI2g6HQ9bFixcRGhp63fbq6mqb0EXuY+htHQAAe368LHMnREREbYfDIWvQoEHYsGGDtN4UrFasWAG9Xt9ynVG7ER8dDAD4rrgcVr4smoiICEAzXqvz1ltvYdy4cTh69CgsFgsWL16Mo0ePYvfu3cjNzXVGj9TG9e6shZ/KA8ar9ThuqETPcL7HkIiIyOErWcOHD8eBAwdgsVjQp08fbN26FaGhocjLy8PAgQOd0SO1cV4eSgzs2ng1K7+YtwyJiIgAB69kWSwWrFq1ComJifjwww+d1RO1Q0NvC8bOHy5iz4+XMXVYtNztEBERyc6hK1menp545plnUFtb66x+qJ2Kj24c/M5xWURERI0cvl04ZMgQ7N+/3xm9UDvWN0ILHy8PXKmpxw9lnC+LiIjI4YHvzz33HP7rv/4L586dw8CBA+Hn52ezv2/fvi3WHLUfXh5KDOoahG9OXELeqcuI03HwOxERuTeHQ9YjjzwCAJg5c6a0TaFQQAgBhUKBhoaGluuO2pU7b++Ib05cwq6Tlzgui4iI3J7DIau4uNgZfZALGNGtI97eDOSduow6ixUqz2a/f5yIiKjdc/hXMCoq6jcXR6Snp2Pw4MEICAhAaGgokpKSUFRUZFNz6tQp/P73v0dISAg0Gg2Sk5NRWlpqU9O1a1coFAqb5Zcvqz548CBGjBgBb29vREZGYsGCBdf1k52djbi4OHh7e6NPnz7YuHGjzX4hBObNm4dOnTrBx8cHCQkJOHHihEOf2ZX17KRBBz8VqusasO/MFbnbISIikpXDV7I++eST39w/efJku8+Vm5uLlJQUDB48GBaLBa+88grGjh2Lo0ePws/PD9XV1Rg7diz69euH7du3AwDmzp2L+++/H3v27IFS+XNGfOONN/DUU09J6wEBAdK/TSYTxo4di4SEBCxbtgyHDh3CE088gcDAQDz99NMAgN27d2PSpElIT0/Hfffdh1WrViEpKQn79u1D7969AQALFizAkiVL8Pe//x3R0dGYO3cuEhMTcfToUZuXZbsrpVKBEd064ovCC/jmxEXpdTtERERuSTgoMDDQZvHz8xMKhUKo1WoRFBTk6OlslJWVCQAiNzdXCCHEli1bhFKpFEajUaqpqKgQCoVC5OTkSNuioqLEokWLfvW8S5cuFUFBQcJsNkvbUlNTRWxsrLSenJwsxo8fb3NcfHy8mD59uhBCCKvVKnQ6ncjMzLTpRa1Wi9WrV9v1+YxGowBg83lczed7z4qo1PXi/ne/kbsVIiKiFtHc32+HbxdeuXLFZqmqqkJRURGGDx+O1atX31LgMxqNAIDg4MbZw81mMxQKBdRqtVTj7e0NpVKJb7/91ubYjIwMdOjQAf3790dmZiYsFou0Ly8vDyNHjoRKpZK2JSYmoqioCFeuXJFqEhISbM6ZmJiIvLw8AI1j0QwGg02NVqtFfHy8VPNLZrMZJpPJZnF1I7p1BAAcOm9EeXWdzN0QERHJp0VGJnfr1g0ZGRl44YUXmn0Oq9WKWbNmYdiwYdLtuaFDh8LPzw+pqamoqalBdXU1XnzxRTQ0NKCkpEQ6dubMmcjKysLXX3+N6dOn46233sJLL70k7TcYDAgLC7P5e03rBoPhN2uu3X/tcTeq+aX09HRotVppiYyMdPh7aW9CNd6I0wVACGDXyUtyt0NERCSbFnv8y9PTExcuXGj28SkpKTh8+DCysrKkbSEhIcjOzsa6devg7+8PrVaLiooKDBgwwGY81pw5c3DXXXehb9++eOaZZ7Bw4UK8++67MJvNt/SZblVaWhqMRqO0nD17VtZ+WsvI7iEAgJ0/XJS5EyIiIvk4PPD9q6++slkXQqCkpATvvfcehg0b1qwmZsyYgfXr12Pnzp2IiIiw2Td27FicOnUKly5dgqenJwIDA6HT6XDbbbf96vni4+NhsVhw+vRpxMbGQqfTXfdEYtO6TqeT/nujmmv3N23r1KmTTc0dd9xxwz7UarXNrU53MbJbCJbv/BFfF12E1SqgVCrkbomIiKjVORyykpKSbNYVCgVCQkIwatQoLFy40KFzCSHw/PPPY+3atdixYweio399AsuOHRvH+mzfvh1lZWV44IEHfrW2sLAQSqUSoaGhAAC9Xo9XX30V9fX18PLyAgDk5OQgNjYWQUFBUs22bdswa9Ys6Tw5OTnQ6/UAgOjoaOh0Omzbtk0KVSaTCfn5+Xj22Wcd+tyubkh0MALUnrhUZcaBcxXo3yVI7paIiIhancMhy2q1ttgfT0lJwapVq/Dll18iICBAGtuk1Wrh4+MDAFi5ciV69OiBkJAQ5OXl4YUXXsDs2bMRGxsLoHHAen5+Pu6++24EBAQgLy8Ps2fPxuOPPy4FqEcffRSvv/46pk2bhtTUVBw+fBiLFy/GokWLpF5eeOEF/O53v8PChQsxfvx4ZGVlYe/evVi+fDmAxjA5a9YsvPnmm+jWrZs0hUN4ePh1wdPdqTyVGBkbgg0HS7DtWBlDFhERuadbfazRYrGI/fv3i/LycoePBXDDZeXKlVJNamqqCAsLE15eXqJbt25i4cKFwmq1SvsLCgpEfHy80Gq1wtvbW/To0UO89dZbora21uZvHThwQAwfPlyo1WrRuXNnkZGRcV0/n332mejevbtQqVSiV69eYsOGDTb7rVarmDt3rggLCxNqtVqMHj1aFBUV2f153WEKhyb/2tc4lUPioly5WyEiIrolzf39VgghhCOhbNasWejTpw+mTZuGhoYGjBw5Enl5efD19cX69etx1113tXAMdB0mkwlarRZGoxEajWu/QLmipg4D3/w3GqwC37x0NyKDfeVuiYiIqFma+/vt8NOFn3/+Ofr16wcAWLduHU6fPo3jx49j9uzZePXVVx09HbmoQF8VBkY13ibcdqz0JtVERESux+GQdenSJelJu40bN+Khhx5C9+7d8cQTT+DQoUMt3iC1X2N6NM4ptu14mcydEBERtT6HQ1ZYWBiOHj2KhoYGbN68GWPGjAEA1NTUwMPDo8UbpPZrdI/Gpzv3/HgZxqv1MndDRETUuhwOWVOnTkVycjJ69+4NhUIhvWYmPz8fcXFxLd4gtV+3hfije5g/6hsEco7yliEREbkXh6dweO2119C7d2+cPXsWDz30kDTZpoeHB15++eUWb5Dat3v7dMIPpSew8VAJ/t/AiJsfQERE5CIcfrrwRioqKhAYGNgS/bg0d3q6sMmJ0kqMWbQTXh4K7P3vMdD6eMndEhERkUNa7enCt99+G2vWrJHWk5OT0aFDB0RERODgwYOOno5cXLewAHQLbbxl+G/eMiQiIjficMhatmwZIiMjATS+diYnJwebNm3CPffcgxdffLHFG6T2794+je963HioROZOiIiIWo/DY7IMBoMUstavX4/k5GSMHTsWXbt2RXx8fIs3SO3f+L6dsHjbCXxz4hJMtfXQePOWIRERuT6Hr2QFBQXh7NmzAIDNmzdLTxcKIdDQ0NCy3ZFL6P7TLcO6Bis2HzbI3Q4REVGrcDhkPfjgg3j00UcxZswYXL58GePGjQMA7N+/HzExMS3eILmGCXeEAwDW7jsvcydEREStw+GQtWjRIsyYMQM9e/ZETk4O/P39AQAlJSV47rnnWrxBcg0T7ugMANhTfBkXKq7K3A0REZHztcgUDmQfd5zC4VrJf83Dd8XleOmeWDx3F696EhFR+9BqUzgAwKefforhw4cjPDwc//nPfwAA77zzDr788svmnI7cxMQBjVez1u47D2Z7IiJydQ6HrA8++ABz5szBuHHjUFFRIQ12DwwMxDvvvNPiDZLrGNenE9SeSpwoq8KRCya52yEiInIqh0PWu+++iw8//BCvvvqqzQuhBw0ahEOHDrVoc+RaNN5eSOgZBgD4vOCczN0QERE5l8Mhq7i4GP37979uu1qtRnV1dYs0Ra7roZ/eX7h2/3nU1nPKDyIicl0Oh6zo6GgUFhZet33z5s3o0aNHizRFrmtEtxB0DvSB8Wo958wiIiKX5vCM73PmzEFKSgpqa2shhMB3332H1atXIz09HStWrHBGj+RCPJQKPDw4En/J+QGrvjuDpP6d5W6JiIjIKRwOWU8++SR8fHzw3//936ipqcGjjz6K8PBwLF68GI888ogzeiQXkzwoEu/8+wd8V1yOk2VViAn1l7slIiKiFufQ7UIhBM6cOYOJEyfixIkTqKqqgsFgwLlz5zBt2jRn9UguRqf1xqi4UABA1ndnZO6GiIjIORwOWTExMdK7C319fREaGuqUxsi1TRrSBQDw+b5zuFrHAfBEROR6HApZSqUS3bp1w+XLl53VD7mJu2JDERnsg4qaenxZyPcZEhGR63H46cKMjAz86U9/wuHDh53RD7kJD6UCU/RdAQAf7z7NGeCJiMjlOPzuwqCgINTU1MBisUClUsHHx8dmf3l5eYs26Erc/d2Fv2S8Wo+hb23D1foGrH5qKPS3d5C7JSIious09/fb4acLFy1aBIVC4ehhRNfR+nhh4sDO+L89Z/Dx7mKGLCIicikOh6w//vGPTmiD3NUUfVf8354zyDlaitOXqtG1o5/cLREREbUIu8dkWa1WvP322xg2bBgGDx6Ml19+GVevXnVmb+QGuoUF4K7YEFgF8OE3P8rdDhERUYuxO2T97//+L1555RX4+/ujc+fOWLx4MVJSUpzZG7mJZ393OwAgu+AcLlaaZe6GiIioZdgdsj755BMsXboUW7ZswRdffIF169bhH//4B6xWqzP7IzcwJDoY/bsEos5ixcpdxXK3Q0RE1CLsDllnzpzBvffeK60nJCRAoVDgwoULTmmM3IdCocAzP13N+nTPf1BZWy9zR0RERLfO7pBlsVjg7e1ts83Lywv19fxBpFs3pkcYbg/xQ2WtBZ/k/UfudoiIiG6Z3U8XCiHwxz/+EWq1WtpWW1uLZ555Bn5+Pz8R9q9//atlOyS3oFQqMGNUDGavOYAPv/kRk/VRCPD2krstIiKiZrM7ZE2ZMuW6bY8//niLNkPu7YF+nfHu9pP48WI1/r77NGaM6iZ3S0RERM3m8Izv1Hyc8f3mviw8jxeyCqH18cI3qXdDw6tZREQks+b+fjv87sKWlJ6ejsGDByMgIAChoaFISkpCUVGRTc2pU6fw+9//HiEhIdBoNEhOTkZpaalNTXl5OR577DFoNBoEBgZi2rRpqKqqsqk5ePAgRowYAW9vb0RGRmLBggXX9ZOdnY24uDh4e3ujT58+2Lhxo81+IQTmzZuHTp06wcfHBwkJCThx4kQLfRsEAPf1DUdMqD+MV+vx0bd80pCIiNovWUNWbm4uUlJSsGfPHuTk5KC+vh5jx45FdXU1AKC6uhpjx46FQqHA9u3bsWvXLtTV1eH++++3mTrisccew5EjR5CTk4P169dj586dePrpp6X9JpMJY8eORVRUFAoKCpCZmYnXXnsNy5cvl2p2796NSZMmYdq0adi/fz+SkpKQlJRk8yLsBQsWYMmSJVi2bBny8/Ph5+eHxMRE1NbWtsK35R48lArMSmi8Tfjhzh9xqYrzZhERUTsl2pCysjIBQOTm5gohhNiyZYtQKpXCaDRKNRUVFUKhUIicnBwhhBBHjx4VAMT3338v1WzatEkoFApx/vx5IYQQS5cuFUFBQcJsNks1qampIjY2VlpPTk4W48ePt+knPj5eTJ8+XQghhNVqFTqdTmRmZtr0olarxerVq+36fEajUQCw+Tx0vYYGq7hvyTciKnW9mPfFIbnbISIiN9fc329Zr2T9ktFoBAAEBwcDAMxmMxQKhc0Tjd7e3lAqlfj2228BAHl5eQgMDMSgQYOkmoSEBCiVSuTn50s1I0eOhEqlkmoSExNRVFSEK1euSDUJCQk2/SQmJiIvLw8AUFxcDIPBYFOj1WoRHx8v1fyS2WyGyWSyWejmlEoF0sbFAQD+kX8Gpy9Vy9wRERGR49pMyLJarZg1axaGDRuG3r17AwCGDh0KPz8/pKamoqamBtXV1XjxxRfR0NCAkpISAIDBYEBoaKjNuTw9PREcHAyDwSDVhIWF2dQ0rd+s5tr91x53o5pfSk9Ph1arlZbIyEjHvhQ3dmdMR/yuewgsVoHMrUU3P4CIiKiNaTMhKyUlBYcPH0ZWVpa0LSQkBNnZ2Vi3bh38/f2h1WpRUVGBAQMGQKlsM63/qrS0NBiNRmk5e/as3C21Ky+Pi4NCAWw4WILvisvlboeIiMghbSKpzJgxA+vXr8fXX3+NiIgIm31jx47FqVOnUFZWhkuXLuHTTz/F+fPncdtttwEAdDodysrKbI6xWCwoLy+HTqeTan75RGLT+s1qrt1/7XE3qvkltVoNjUZjs5D9enTS4JHBXQAAr311BA1WzjZCRETth6whSwiBGTNmYO3atdi+fTuio6N/tbZjx44IDAzE9u3bUVZWhgceeAAAoNfrUVFRgYKCAql2+/btsFqtiI+Pl2p27txp8wqgnJwcxMbGIigoSKrZtm2bzd/MycmBXq8HAERHR0On09nUmEwm5OfnSzXU8l4c2x0B3p44WmLCmu95JZCIiNoR54zDt8+zzz4rtFqt2LFjhygpKZGWmpoaqeajjz4SeXl54uTJk+LTTz8VwcHBYs6cOTbnueeee0T//v1Ffn6++Pbbb0W3bt3EpEmTpP0VFRUiLCxM/OEPfxCHDx8WWVlZwtfXV/z1r3+Vanbt2iU8PT3Fn//8Z3Hs2DExf/584eXlJQ4d+vnptoyMDBEYGCi+/PJLcfDgQTFhwgQRHR0trl69atfn5dOFzfO3b34UUanrxR2vbxFXqs03P4CIiKgFNff3W9aQBeCGy8qVK6Wa1NRUERYWJry8vES3bt3EwoULhdVqtTnP5cuXxaRJk4S/v7/QaDRi6tSporKy0qbmwIEDYvjw4UKtVovOnTuLjIyM6/r57LPPRPfu3YVKpRK9evUSGzZssNlvtVrF3LlzRVhYmFCr1WL06NGiqKjI7s/LkNU8dZYGMeYvO0RU6nqR+vkBudshIiI309zfb75WpxXxtTrN9/3pcjy0rHGqjOxn9BjcNVjmjoiIyF20y9fqENlrcNdgPDK4cQqMV/51CHUW602OICIikhdDFrUbL4+LQwc/FU6UVeGDHafkboeIiOg3MWRRuxHoq8L8B3oBAN7dfgJHL3AGfSIiarsYsqhdub9vJyT2CoPFKvBi9gHUN/C2IRERtU0MWdSuKBQKvJnUB0G+XjhaYsK720/K3RIREdENMWRRuxMSoMYbExrfb/ne9hMo+A9fuUNERG0PQxa1S/f3C8fv+3eGVQCz1hSisrb+5gcRERG1IoYsarden9ALEUE+OFt+FfO+PAJO+UZERG0JQxa1WxpvL7zz8B1QKoC1+89j1Xdn5G6JiIhIwpBF7dqgrsFIvScOAPDaV0ew/8wVmTsiIiJqxJBF7d7TI2/DPb10qG8QeO4f+3C5yix3S0RERAxZ1P4pFApkPtQXt3X0Q4mxFs+v3g8L588iIiKZMWSRSwjw9sKyPwyEr8oDu09dxsKcH+RuiYiI3BxDFrmM7mEBeHtiXwDABztOYf3BCzJ3RERE7owhi1zK/f3C8eTwaADAnM8O4PvTnKiUiIjkwZBFLift3h4Y0zMMdRYrnvz7Xpwsq5K7JSIickMMWeRyPJQKLHmkP+6IDITxaj3+uPI7lFXWyt0WERG5GYYsckk+Kg/8bcogRHXwxbkrVzHt472oNlvkbouIiNwIQxa5rA7+anw8dQiC/VQ4dN6IlFX7UGfh1A5ERNQ6GLLIpUV39MOKKYOg9lRiR9FFzFi1D/WcQ4uIiFoBQxa5vAFdgvDh5EFQeSqx9WgpZq7ez6BFREROx5BFbmFk9xD89fGBUHkosemwAbPXFHJWeCIiciqGLHIbd8eFYuljA+DlocD6gyV4MfsAGqxC7raIiMhFMWSRW0noGYb3Hh0AT6UCXxRewMys/TBbGuRui4iIXBBDFrmdxF46vPdof3h5KLDhYAmmfbwXVZzegYiIWhhDFrmle3p3wkd/HAxflQe+PXkJj324B+XVdXK3RURELoQhi9zWiG4hWPXUUAT5euHAOSP+37LdOF9xVe62iIjIRTBkkVu7IzIQ2c/ciXCtN368WI0Hl+7CoXNGudsiIiIXwJBFbi8m1B//fO5OdAv1R6nJjIf+uhvrD16Quy0iImrnGLKIAHTS+uCfz92Ju2NDUFtvxYxV+/GXrUWwcooHIiJqJoYsop9ovL2wYspgPDUiGgCwZPtJPPePfaip45OHRETkOIYsomt4KBV4dXxPZP6/vlB5KLH5iAET3tuFE6WVcrdGRETtDEMW0Q08NCgSq56KR2iAGifKqvDAe7vwecE5udsiIqJ2hCGL6FcM6hqMjS+MwIhuHXG1vgEvZh/An7IP4GodZ4gnIqKbY8gi+g0d/dX4+9Qh+K8x3aFUANkF5/DAe9/i8HlO80BERL9N1pCVnp6OwYMHIyAgAKGhoUhKSkJRUZFNjcFgwB/+8AfodDr4+flhwIAB+Oc//2lT07VrVygUCpslIyPDpubgwYMYMWIEvL29ERkZiQULFlzXT3Z2NuLi4uDt7Y0+ffpg48aNNvuFEJg3bx46deoEHx8fJCQk4MSJEy30bVBbpVQq8PzobvjHk0MR8tPtw6T3d+HdbSdgabDK3R4REbVRsoas3NxcpKSkYM+ePcjJyUF9fT3Gjh2L6upqqWby5MkoKirCV199hUOHDuHBBx9EcnIy9u/fb3OuN954AyUlJdLy/PPPS/tMJhPGjh2LqKgoFBQUIDMzE6+99hqWL18u1ezevRuTJk3CtGnTsH//fiQlJSEpKQmHDx+WahYsWIAlS5Zg2bJlyM/Ph5+fHxITE1FbW+vEb4naCv3tHbD5hRG4p5cOFqvAwpwfMHFZHk5drJK7NSIiaotEG1JWViYAiNzcXGmbn5+f+OSTT2zqgoODxYcffiitR0VFiUWLFv3qeZcuXSqCgoKE2WyWtqWmporY2FhpPTk5WYwfP97muPj4eDF9+nQhhBBWq1XodDqRmZkp7a+oqBBqtVqsXr3ars9nNBoFAGE0Gu2qp7bJarWKf+07K3rP3yyiUteL2P/eKD7ceUrUWxrkbo2IiJygub/fbWpMltHYOM4lODhY2nbnnXdizZo1KC8vh9VqRVZWFmpra3HXXXfZHJuRkYEOHTqgf//+yMzMhMXy89xGeXl5GDlyJFQqlbQtMTERRUVFuHLlilSTkJBgc87ExETk5eUBAIqLi2EwGGxqtFot4uPjpZpfMpvNMJlMNgu1fwqFAr/vH4Ets0ZiRLeOqK234s0Nx5DEV/IQEdE12kzIslqtmDVrFoYNG4bevXtL2z/77DPU19ejQ4cOUKvVmD59OtauXYuYmBipZufVoUwAACAASURBVObMmcjKysLXX3+N6dOn46233sJLL70k7TcYDAgLC7P5e03rBoPhN2uu3X/tcTeq+aX09HRotVppiYyMdOg7obYtPNAHnzwxBBkP9oHG2xOHz5sw4f1v8ca6o6g2cwJTIiJ35yl3A01SUlJw+PBhfPvttzbb586di4qKCvz73/9Gx44d8cUXXyA5ORnffPMN+vTpAwCYM2eOVN+3b1+oVCpMnz4d6enpUKvVrfo5rpWWlmbTm8lkYtByMQqFAo8M6YLRPcLwP+uP4qsDF/DRrmJsOlyCtHt74P6+naBQKORuk4iIZNAmrmTNmDED69evx9dff42IiAhp+6lTp/Dee+/ho48+wujRo9GvXz/Mnz8fgwYNwvvvv/+r54uPj4fFYsHp06cBADqdDqWlpTY1Tes6ne43a67df+1xN6r5JbVaDY1GY7OQawoJUGPJpP74eOpgRAb7oMRYi5mr9yP5r3mc7oGIyE3JGrKEEJgxYwbWrl2L7du3Izo62mZ/zf9v786jmyrzPoB/sydt0nRNS6G0ZatlLVjsQGVx7ACKM0U5AloFxRlGpoAMwoBLhXFhcXB0HLSo7xzwjPYFHGUZnBmn1tfSIrK0FKhQ2fduUNJ0TdLkef9ImzbSQguENOX7Oeee3Dz3yc0vCTTf89yb59bWAgCkUtcyZTIZ7Pa2fzpfUFAAqVQKg8EAABgxYgR27NgBq9Xq7JOZmYmYmBgEBAQ4+2RlZbnsJzMzEyNGjAAAREdHIywszKWPyWTC7t27nX2IxsYYkPn7MVjwi35QK6TYe/oKfrkmF4v/cRBlVfwVKhHRHcU95+G3z+zZs4VerxfffvutKC4udi61tbVCCCEsFovo06ePGDVqlNi9e7c4fvy4WL16tZBIJOLLL78UQgjx3XffibffflsUFBSIEydOiE8++USEhISI6dOnO5/HaDSK0NBQ8eSTT4rCwkKxYcMG4ePjIz744ANnn507dwq5XC5Wr14tjhw5IpYuXSoUCoU4dOiQs8/KlSuFv7+/2Lp1qzh48KBITk4W0dHRoq6url2vl78uvLNcuFIr5v1vvohcvF1ELt4uYtP+LVZ/VSQq6yyeLo2IiDrgRr+/PRqyALS6rFu3ztnn6NGj4pFHHhEGg0H4+PiIwYMHu0zpkJeXJxISEoRerxdqtVrExsaK5cuXi/r6epfnOnDggLj33nuFSqUS3bt3FytXrryqnk2bNol+/foJpVIpBgwY4AxyTex2u0hLSxOhoaFCpVKJ+++/X/z444/tfr0MWXemvacui1+tyXWGrbg/fiU+2nFC1FkaPF0aERG1w41+f0uEEMJTo2h3GpPJBL1ej8rKSp6fdYcRQuCrH0rw5lc/4mS5Y7LdcL0as+/rgynxPaCSyzxcIRERteVGv78Zsm4jhixqsNnxj7zzeOfrYygxOc7RCvNTY/bY3pg6PAJqBcMWEVFnw5DlBRiyqEm91YYNe84iPfsESk1mAIBBp8JvRvXCtHsioFMrPFwhERE1YcjyAgxZ9FP1Vhs+yzuP9P87jouVjpEtnUqOafdE4OnEaIT7azxcIRERMWR5AYYsaoulwY7N+8/jo5xTOF7muOC0TCrBQ4O74TejemFgd72HKyQiunMxZHkBhiy6HrtdIPtoOT7ccRK7Tl52tv+sVyCeGhmN+2MNUMg6xRzCRER3DIYsL8CQRR1ReKES/5NzEv88WAyb3fHf1KBTYdrwCEy9pye681AiEdFtwZDlBRiy6EZcNNbh79+fwWf7zuFStQUAIJUA98UYkPKznhjTzwCZlNdHJCJyF4YsL8CQRTfD0mDHfw+X4NPvz7ocSuzur8Ejw7rj4aHd0StE68EKiYi6JoYsL8CQRbfKifJq/O/us/gs7zwq65qvyRkX4Y/Jw7rjocHhCPBVerBCIqKugyHLCzBk0a1Wb7Uh83Apvsg/jx3HLjnP3VLIJLgvxoBHhnXH2BgDJzklIroJDFlegCGL3Km8yoxtBy7ii/zz+OGiydnuq5Th57GhmDioG8bGhDBwERF1EEOWF2DIotvlx5IqfJF/HtsPFuOCsc7Z3hy4wjjCRUTUTgxZXoAhi243IQQKzhnxr0PF+NehEpfApVZIMapvCJJiDfj5XaEI0ak8WCkRUefFkOUFGLLIk4QQOHC+El8evHhV4JJIHCfNJ8WGIik2FP1CtZBIOC0EERHAkOUVGLKosxBC4EhxFb4+Uoqvj5Ti4PlKl+3d/TUY1TcYo/qGILFPEPx9+EtFIrpzMWR5AYYs6qxKKuuRVVSKrCNlyD1+CZYGu3ObVAIM7uGP0X2DMbpfCOIi/CHnpX2I6A7CkOUFGLLIG9RZbNh96jJyjl3CjqPlONZ4weomOpUcI3oHIbFPMBJ6BaKfQQcpZ5wnoi6MIcsLMGSRNyqurHMGrtzjl2CstbpsD/BRYHhUIBJ6BSEhOhCx3fx4mR8i6lIYsrwAQxZ5O5td4IeLlcg5dgnfn7yMfaevoM5qc+mjU8txT1QgEnoFIj4qEAPC/aCSc6oIIvJeDFlegCGLuhqrzY5DFyqx+2QFdp9yhK5qc4NLH6VcioHhfhjWMwBDewZgWKQ/uuk1HqqYiKjjGLK8AEMWdXUNNjsOF5ucoSvvzBVc+cnhRQDoplc3hi5/xEX4o3+4H3yUcg9UTER0fQxZXoAhi+40QgicuVyL/LNXkH/2CvafNaKopMp5jcUmUgnQO0SLgd31GNhdj0Hd9RgQ7gdfFYMXEXkeQ5YXYMgiAmrMDTh4vhL7z11B/hkjDl0wotRkvqqfRAL0CvbFoMbgNbAxeOnUCg9UTUR3MoYsL8CQRdS6sqp6FF6oxKHzJhy6UInCC5UoMdW32rdHgAZ3hekQE6bDXWF+uCtMh+hgX87dRURuw5DlBRiyiNqvvMqMwouVKDxf6QxeFytbD15KmRS9DdoW4csRwEL9VLw8EBHdNIYsL8CQRXRzjLUWFJVU4ceSKhSVmFBUUoWjJVWosdha7a9TydHLoEWfEC16G3wbb7WIDPThyBcRtRtDlhdgyCK69ex2gQvGOhSVVKGo2ISiUkcIO3Wp5qoT7JsoZBJEBvk2hy+DFtHBWkQF+fA6jUR0FYYsL8CQRXT7mBtsOHO5FifKqnG8rBonyqtxvLwaJ8pqrppAtSW9RoGoYF9EBfkgMsj1NtBXycOPRHcghiwvwJBF5Hl2u0Cxqd41fJVV4/TlmlZ/5diSTiVHZLBr+IoI8EGPAA266dU8BEnURTFkeQGGLKLOrdbSgLMVtTh9qRZnLtfg9OXG20s1bZ5030QmlSDMT42IQA16NAav5lsNwvwYwoi81Y1+f3OmPyKiRj5KeeO0EFf/Ea232nCuorY5eF2uwZnLtTh/pQ4XrtTBYrPjgrEOF4x1ACquerxMKkE3vRo9AjTo7u+DcH81wvRqdNOr0U3vGAnTaxQ8HEnUhTBkERG1g1ohQ99QHfqG6q7aZrcLlFebcf6KI3Q5lub1phDWdL+1EAYAGoUM3fRN4csRvLr5O4JYmJ8G4f4MYkTehCGLiOgmSaUShPqpEeqnxt2RV29vGcLOVThGu0oq61FcWYfiynoUV9ajosaCOqsNJy/V4OSlmjafS6OQIdRPBYNOjRA/FQw6x7pBp4LBr3nd34dhjMjTGLKIiNzseiEMcByOLGkMXCWmOlw01rcZxE5fdhy2vBalTIoQnQohOtVVAaxpPUSnQqCvEgqeK0bkFgxZRESdgFohc0wdEezbZp+mIFZqqkdZlblxqUe5qXm9rMoMY631J+eIXZteo0CQVolgXxWCtErH4qtCsFaJIK0KQb7Nt3qNAlIpR8iI2sOjIWvFihX44osvUFRUBI1Gg5EjR2LVqlWIiYlx9ikpKcGiRYuQmZmJqqoqxMTE4KWXXsLkyZOdfSoqKjB37lz885//hFQqxeTJk/GXv/wFWq3W2efgwYNITU3F3r17ERISgrlz5+IPf/iDSz2fffYZ0tLScPr0afTt2xerVq3Cgw8+6NwuhMDSpUvx0UcfwWg0IjExEenp6ejbt68b3yUiIof2BDHAMUdYeVMIM5lR3hi+ykzNQaysyozL1WbYBVBZZ0VlnRUny9s+TNlEJpUg0FeJIF8lgrWOUBboq0SAjxIBvkoE+CgQ4KOEf+NtoK8SaoXsVr0FRF7FoyErOzsbqampGD58OBoaGvDiiy9i3LhxOHz4MHx9HX9Epk+fDqPRiG3btiE4OBgZGRmYMmUK9u3bh6FDhwIAUlJSUFxcjMzMTFitVjz99NOYNWsWMjIyADh+ejlu3DgkJSVh7dq1OHToEGbOnAl/f3/MmjULAPDdd9/hsccew4oVK/DQQw8hIyMDkyZNQn5+PgYOHAgAePPNN/Huu+/i448/RnR0NNLS0jB+/HgcPnwYarXaA+8gEdHVVHJZ4/QRPtfsZ7cLGOusuFxtxqVqCypqLLhc41i/XG3G5WrH/cvVFlyqNsNU3wCbXaC8yozyKjOAqnbVo1ZIG4OXEoG+Cvj7NIcxRzhramts91VCp5LznDLyep1qnqzy8nIYDAZkZ2dj9OjRAACtVov09HQ8+eSTzn5BQUFYtWoVfv3rX+PIkSPo378/9u7di/j4eADAf/7zHzz44IM4f/48wsPDkZ6ejpdeegklJSVQKh2XzFiyZAm2bNmCoqIiAMDUqVNRU1OD7du3O5/nZz/7GeLi4rB27VoIIRAeHo7nn38eCxcuBABUVlYiNDQU69evx7Rp0677+jhPFhF5M0uDHRU1jsB1uaZlELPAWGvBlVoLrtRYHbe1VhhrLWho49JG1yOVAH4aBfQaBfzUjlu9RtHcppE721oufmpHHxkPadIt1CXmyaqsrAQABAYGOttGjhyJjRs3YuLEifD398emTZtQX1+PsWPHAgB27doFf39/Z8ACgKSkJEilUuzevRsPP/wwdu3ahdGjRzsDFgCMHz8eq1atwpUrVxAQEIBdu3ZhwYIFLvWMHz8eW7ZsAQCcOnUKJSUlSEpKcm7X6/VISEjArl27Wg1ZZrMZZnPzDNImk+km3h0iIs9SyqUIa5xioj2EEKgyN8DoDF4WGGutqHCGMmurbXVWG+wCMNZaYay13lCtOpXcGch+Gsq0KgV0anmLRQGtqnldp5ZDJZdyJI1uWqcJWXa7HfPnz0diYqLz8BwAbNq0CVOnTkVQUBDkcjl8fHywefNm9OnTB4DjnC2DweCyL7lcjsDAQJSUlDj7REdHu/QJDQ11bgsICEBJSYmzrWWflvto+bjW+vzUihUr8Mc//rFD7wMRUVchkUgcI0tqBXoGXfvQZUv1VhtMjeeJtVwcbQ2ttFlhqnfc1loc16WsMjegytzQrhP/W6OQSRqDlyN0tVxvWtoKa02Lr0oOpZy/3LyTdZqQlZqaisLCQuTm5rq0p6WlwWg04uuvv0ZwcDC2bNmCKVOmICcnB4MGDfJQte3zwgsvuIyOmUwmREREeLAiIqLOT62QQa2QweDX8XNdLQ12Z+BqGcSaw1gDquqtqKpvaFysqDY71qvrHcEMAKw20TjSdmMjaU0UMgl8VXL4KuXwVclc15WOIOZoa9zW1KeVflqVHGoFR9i8SacIWXPmzMH27duxY8cO9OjRw9l+4sQJrFmzBoWFhRgwYAAAYMiQIcjJycF7772HtWvXIiwsDGVlZS77a2hoQEVFBcLCwgAAYWFhKC0tdenTdP96fVpub2rr1q2bS5+4uLhWX5dKpYJKperYm0FERDdMKZciWKtCsPbG/vba7QLVlsbAVd+AanNTMGtqaw5lpnpri34twpu5AZYGOwBHWLuZw54/JZUAvko5fBrDmFYlh49SBq1KDo1SDh+FDBqlY3FZV8qgUTj6+igdIdaxLndu53xpt55HQ5YQAnPnzsXmzZvx7bffXnVIr7bWMdmeVOr6wctkMtjtjn/AI0aMgNFoRF5eHu6++24AwDfffAO73Y6EhARnn5deeglWqxUKhQIAkJmZiZiYGAQEBDj7ZGVlYf78+c7nyczMxIgRIwAA0dHRCAsLQ1ZWljNUmUwm7N69G7Nnz76l7wsREXmGVNp8iPNmWG121JptqLE0oMbcgBqLDTVmRxirtTSg2mxDrbmhsc3W2NaAWovN2afG3Lje+HgAsIvmQ6GA+dpFdJBcKnEGLh+lvEUQk0HTuK5pEdY0LbZpGoObWuG4r1ZIHfflMqiVzesKmeSOGonz6K8Lf/e73yEjIwNbt251mRtLr9dDo9HAarWif//+6NatG1avXo2goCBs2bIFixYtwvbt251zWD3wwAMoLS3F2rVrnVM4xMfHO6dwqKysRExMDMaNG4fFixejsLAQM2fOxNtvv+0yhcOYMWOwcuVKTJw4ERs2bMDy5ctdpnBYtWoVVq5c6TKFw8GDB9s9hQN/XUhERDfCbheos7YMajaXwFbT2FZvdQS2WosNdRab49batN6yT2Ob1QbbDf4C9EZIJWgMYY5FpZC2uC9tDGWN4awxqLUMbaqW9+WNoU4phUrevI9AXyV8lLd2DOlGv789GrLaSrPr1q3DU089BQA4duwYlixZgtzcXFRXV6NPnz5YuHChy5QOFRUVmDNnjstkpO+++26bk5EGBwdj7ty5WLx4scvzfvbZZ3j55Zedk5G++eabrU5G+uGHH8JoNOLee+/F+++/j379+rXr9TJkERFRZyKEgMVmR73FjlprczircwYxR1vLcNbUXtcyrFlsqG+wod5qh9nq6Ftnddyvb7DhdiaN15IH4MkRUbd0n14Zsu40DFlERHSnaRnkHEHMEb7qrE3rjWGs5f0GO+oag5u5cVtdq32b9+nob8cbkwbi0fhb+yOzLjFPFhEREXUtEokEKrkMKrkMetzcuW7ehj8lICIiInIDhiwiIiIiN2DIIiIiInIDhiwiIiIiN2DIIiIiInIDhiwiIiIiN2DIIiIiInIDhiwiIiIiN2DIIiIiInIDhiwiIiIiN2DIIiIiInIDhiwiIiIiN2DIIiIiInIDhiwiIiIiN5B7uoA7iRACAGAymTxcCREREbVX0/d20/d4ezFk3UZVVVUAgIiICA9XQkRERB1VVVUFvV7f7v4S0dFYRjfMbrfj4sWL0Ol0kEgkt2y/JpMJEREROHfuHPz8/G7Zfsn9+Nl5J35u3omfm3fqDJ+bEAJVVVUIDw+HVNr+M604knUbSaVS9OjRw2379/Pz4x8OL8XPzjvxc/NO/Ny8k6c/t46MYDXhie9EREREbsCQRUREROQGsmXLli3zdBF082QyGcaOHQu5nEeAvQ0/O+/Ez8078XPzTt76ufHEdyIiIiI34OFCIiIiIjdgyCIiIiJyA4YsIiIiIjdgyCIiIiJyA4asLuC9995DVFQU1Go1EhISsGfPHk+XRNewYsUKDB8+HDqdDgaDAZMmTcKPP/7o6bKog1auXAmJRIL58+d7uhS6jgsXLuCJJ55AUFAQNBoNBg0ahH379nm6LLoGm82GtLQ0REdHQ6PRoHfv3njttdc6fO1AT2PI8nIbN27EggULsHTpUuTn52PIkCEYP348ysrKPF0atSE7Oxupqan4/vvvkZmZCavVinHjxqGmpsbTpVE77d27Fx988AEGDx7s6VLoOq5cuYLExEQoFAr8+9//xuHDh/HWW28hICDA06XRNaxatQrp6elYs2YNjhw5glWrVuHNN9/EX//6V0+X1iGcwsHLJSQkYPjw4VizZg0Ax/URIyIiMHfuXCxZssTD1VF7lJeXw2AwIDs7G6NHj/Z0OXQd1dXVGDZsGN5//328/vrriIuLwzvvvOPpsqgNS5Yswc6dO5GTk+PpUqgDHnroIYSGhuJvf/ubs23y5MnQaDT45JNPPFhZx3Aky4tZLBbk5eUhKSnJ2SaVSpGUlIRdu3Z5sDLqiMrKSgBAYGCghyuh9khNTcXEiRNd/t9R57Vt2zbEx8fj0UcfhcFgwNChQ/HRRx95uiy6jpEjRyIrKwtHjx4FABw4cAC5ubl44IEHPFxZx3jX1Knk4tKlS7DZbAgNDXVpDw0NRVFRkYeqoo6w2+2YP38+EhMTMXDgQE+XQ9exYcMG5OfnY+/evZ4uhdrp5MmTSE9Px4IFC/Diiy9i7969mDdvHpRKJWbMmOHp8qgNS5Ysgclkwl133QWZTAabzYY33ngDKSkpni6tQxiyiDwoNTUVhYWFyM3N9XQpdB3nzp3Dc889h8zMTKjVak+XQ+1kt9sRHx+P5cuXAwCGDh2KwsJCrF27liGrE9u0aRM+/fRTZGRkYMCAASgoKMD8+fMRHh7uVZ8bQ5YXCw4OhkwmQ2lpqUt7aWkpwsLCPFQVtdecOXOwfft27NixAz169PB0OXQdeXl5KCsrw7Bhw5xtNpsNO3bswJo1a2A2myGTyTxYIbWmW7du6N+/v0tbbGwsPv/8cw9VRO2xaNEiLFmyBNOmTQMADBo0CGfOnMGKFSu8KmTxnCwvplQqcffddyMrK8vZZrfbkZWVhREjRniwMroWIQTmzJmDzZs345tvvkF0dLSnS6J2uP/++3Ho0CEUFBQ4l/j4eKSkpKCgoIABq5NKTEy8aoqUo0ePIjIy0kMVUXvU1tZCKnWNKDKZDHa73UMV3RiOZHm5BQsWYMaMGYiPj8c999yDd955BzU1NXj66ac9XRq1ITU1FRkZGdi6dSt0Oh1KSkoAAHq9HhqNxsPVUVt0Ot1V5835+voiKCiI59N1Yr///e8xcuRILF++HFOmTMGePXvw4Ycf4sMPP/R0aXQNv/zlL/HGG2+gZ8+eGDBgAPbv348///nPmDlzpqdL6xBO4dAFrFmzBn/6059QUlKCuLg4vPvuu0hISPB0WdQGiUTSavu6devw1FNP3d5i6KaMHTuWUzh4ge3bt+OFF17AsWPHEB0djQULFuA3v/mNp8uia6iqqkJaWho2b96MsrIyhIeH47HHHsMrr7wCpVLp6fLajSGLiIiIyA14ThYRERGRGzBkEREREbkBQxYRERGRGzBkEREREbkBQxYRERGRGzBkEREREbkBQxYRERGRGzBkEREREbkBQxYR0S2wbNkyxMXFebqMVi1btgwSiQQSieS6s9M39fP3979N1RF1XQxZROQRTz31lPMLXalUok+fPnj11VfR0NDg6dK6pAEDBqC4uBizZs26Zr/i4mJeJojoFuEFoonIYyZMmIB169bBbDbjX//6F1JTU6FQKPDCCy/c0P4sFotXXdfsdpLL5QgLC7tuv7CwMOj1+ttQEVHXx5EsIvIYlUqFsLAwREZGYvbs2UhKSsK2bduc2z///HMMGDAAKpUKUVFReOutt1weHxUVhddeew3Tp0+Hn5+fc5Tm3LlzmDJlCvz9/REYGIjk5GScPn261Rrsdjt69OiB9PR0l/b9+/dDKpXizJkzAICzZ88iOTkZWq0Wfn5+mDJlCkpLS9t8bWPHjsX8+fNd2iZNmuRyEfCoqCi8/vrrmD59OrRaLSIjI7Ft2zaUl5c7n2vw4MHYt2+fy35yc3MxatQoaDQaREREYN68eaipqWmzFiLyDIYsIuo0NBoNLBYLACAvLw9TpkzBtGnTcOjQISxbtgxpaWlYv369y2NWr16NIUOGYP/+/UhLS4PVasX48eOh0+mQk5ODnTt3QqvVYsKECc59tySVSvHYY48hIyPDpf3TTz9FYmIiIiMjYbfbkZycjIqKCmRnZyMzMxMnT57E1KlTb/o1v/3220hMTMT+/fsxceJEPPnkk5g+fTqeeOIJ5Ofno3fv3pg+fTqEEACAEydOYMKECZg8eTIOHjyIjRs3Ijc3F3PmzLnpWojoFhNERB4wY8YMkZycLIQQwm63i8zMTKFSqcTChQuFEEI8/vjj4he/+IXLYxYtWiT69+/vvB8ZGSkmTZrk0ufvf/+7iImJEXa73dlmNpuFRqMRX331Vau17N+/X0gkEnHmzBkhhBA2m010795dpKenCyGE+O9//ytkMpk4e/as8zE//PCDACD27NkjhBBi6dKlYsiQIc7tY8aMEc8995zL8yQnJ4sZM2a41P/EE0847xcXFwsAIi0tzdm2a9cuAUAUFxcLIYR45plnxKxZs1z2m5OTI6RSqairq2v19f20tutZt26d0Ov17e5PRK3jSBYRecz27duh1WqhVqvxwAMPYOrUqVi2bBkA4MiRI0hMTHTpn5iYiGPHjsFmsznb4uPjXfocOHAAx48fh06ng1arhVarRWBgIOrr63HixIlW64iLi0NsbKxzNCs7OxtlZWV49NFHnbVEREQgIiLC+Zj+/fvD398fR44cuan3YPDgwc710NBQAMCgQYOuaisrK3O+vvXr1ztfm1arxfjx42G323Hq1Kl2P++zzz7rsg8iuvV44jsRecx9992H9PR0KJVKhIeHQy7v+J8kX19fl/vV1dW4++678emnn17VNyQkpM39pKSkICMjA0uWLEFGRgYmTJiAoKCgDtfTRCqVOg/xNbFarVf1UygUznWJRNJmm91uB+B4fb/97W8xb968q/bVs2fPdtf36quvYuHChe3uT0Qdx5BFRB7j6+uLPn36tLotNjYWO3fudGnbuXMn+vXrB5lM1uY+hw0bho0bN8JgMMDPz6/dtTz++ON4+eWXkZeXh3/84x9Yu3atSy3nzp3DuXPnnKNZhw8fhtFoRP/+/VvdX0hICIqLi533bTYbCgsLcd9997W7ptYMGzYMhw8fbvN9ay+DwQCDwXBT+yCia+PhQiLqlJ5//nlkZWXhtddew9GjR/Hxxx9jzZo11x19SUlJQXBwMJKTk5GTk4NTp07h22+/xbx583D+/Pk2HxcVFYWRI0fimWeegc1mw69+9SvntqSkJAwaNAgpKSnIz8/Hnj17MH36dIwZM+aqw5VNfv7zn+PLL7/El19+iaKiIsyePRtGo/HG3owWFi9ejO+++w5z5sxBQUEBjh07tB+2JQAAAVVJREFUhq1bt/LEd6JOiCGLiDqlYcOGYdOmTdiwYQMGDhyIV155Ba+++qrLFAit8fHxwY4dO9CzZ0888sgjiI2NxTPPPIP6+vrrjmylpKTgwIEDePjhh6HRaJztEokEW7duRUBAAEaPHo2kpCT06tULGzdubHNfM2fOxIwZM5xhrFevXjc9igU4zuHKzs7G0aNHMWrUKAwdOhSvvPIKwsPDb3rfRHRrScRPTxogIqIuZdmyZdiyZQsKCgra1X/9+vWYP3/+LRl5I7qTcSSLiOgOcOjQIWi1Wrz//vvX7KfVavHss8/epqqIujaOZBERdXEVFRWoqKgA4Dgh/1qXzTl+/DgAQCaTITo6+rbUR9RVMWQRERERuQEPFxIRERG5AUMWERERkRswZBERERG5AUMWERERkRswZBERERG5AUMWERERkRswZBERERG5AUMWERERkRv8P+ZkQ73PLdntAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f9584f4b210>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "# FF.visualize(rel_perms)\n",
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=mu_water, mu_oil=mu_oil)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "# FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "# tight_layout()\n",
    "core_flood = FF.core_flooding(u_inj=u_inj, pv_inject=pv_inj, \n",
    "    p_back=p0, sw_init=swi, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties(L=L_core, D=D_core, φ=poros, k=perm_ave)\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = linspace(0,1,100)\n",
    "\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# t_sec, pv, rec_fact, dp_core, x, sw, c, c_out_sal=\n",
    "#             FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# figure()\n",
    "# plot(t_sec, rec_fact, \"o\", wf_res.recovery_time[:,1], wf_res.recovery_time[:,2])\n",
    "# figure()\n",
    "# plot(t_sec, dp_core, \"o\", wf_res.dp_time[:,1], wf_res.dp_time[:,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experimental data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f9584e528d0>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f9584df7cd0>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_exp_dp = t_sec[:]\n",
    "# dp_exp \n",
    "t_exp_R = t_sec[:]\n",
    "R_exp = R_oil[:]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "exp_data([0.0, 1879.28, 1879.28, 1879.28, 5608.94, 11189.0, 14918.6, 16797.9, 20527.6, 22377.9  …  41026.2, 55973.7, 83931.7, 1.04459e5, 1.34296e5, 1.47365e5, 154824.0, 1.80932e5, 2.08918e5, 2.36905e5], [190000.0, 300000.0, 410000.0, 514000.0, 618000.0, 714000.0, 824000.0, 928000.0, 1.032e6, 1.142e6  …  1.142e6, 1.224e6, 1.252e6, 1.314e6, 1.286e6, 1.396e6, 1.294e6, 1.328e6, 1.314e6, 1.314e6], [0.0, 1879.28, 1879.28, 1879.28, 5608.94, 11189.0, 14918.6, 16797.9, 20527.6, 22377.9  …  41026.2, 55973.7, 83931.7, 1.04459e5, 1.34296e5, 1.47365e5, 154824.0, 1.80932e5, 2.08918e5, 2.36905e5], [0.0, 0.00642262, 0.00642262, 0.00642262, 0.019169, 0.0382393, 0.0509857, 0.0574083, 0.0701548, 0.0764786  …  0.213854, 0.240425, 0.275473, 0.295732, 0.320074, 0.328597, 0.329924, 0.334568, 0.336946, 0.340514])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# struct\n",
    "struct exp_data\n",
    "    t_exp_dp\n",
    "    dp_exp\n",
    "    t_exp_R\n",
    "    R_exp\n",
    "end\n",
    "exp_data1 = exp_data(t_exp_dp, dp_exp, t_exp_R, R_exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "4.543724050889616"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "rel_perm_param [krw0, kro0, nw, no, swc, sor]\n",
    "\"\"\"\n",
    "function error_calc(rel_perm_param, exp_data, core_props, fluids, core_flood; w_p=1.0, w_R=1.0)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    error_dp = abs.(dp_calc(exp_data.t_exp_dp) .- exp_data.dp_exp)\n",
    "#     println(error_dp)\n",
    "    error_R = abs.(R_calc(exp_data.t_exp_R) .- exp_data.R_exp)\n",
    "#     println(error_R)\n",
    "    error_dp_norm = w_p.*error_dp./exp_data.dp_exp\n",
    "    error_R_norm = w_R.*error_R./(exp_data.R_exp+eps())\n",
    "    return mean(error_R_norm)+mean(error_dp_norm)\n",
    "end\n",
    "\n",
    "function vis_error(rel_perm_param, exp_data, core_props, fluids, core_flood)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    figure()\n",
    "    plot(wf_res.dp_time[:,1], wf_res.dp_time[:,2],  exp_data.t_exp_dp, exp_data.dp_exp, \"o\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"dp [Pa]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "    figure()\n",
    "    plot(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], exp_data.t_exp_R, exp_data.R_exp, \"v\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"R [-]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.109681, 0.201297, 2, 2.0, 0.19, 0.1]\n",
    "\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function and gradients and weight factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.457838948479299"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# weight factors:\n",
    "w_p = ones(length(exp_data1.dp_exp))\n",
    "ind_max = indmax(exp_data1.dp_exp)\n",
    "w_p[ind_max-1:ind_max+2] = 10\n",
    "w_p[end:end-5]=10\n",
    "w_p[1]=1\n",
    "w_R = ones(length(exp_data1.R_exp))\n",
    "# w_R[20:25] = 10\n",
    "w_R[end:end-5]=10\n",
    "\n",
    "\n",
    "function f(x)\n",
    "    f_val = 0.0\n",
    "    try\n",
    "        f_val = error_calc(x, exp_data1, core_props, fluids, core_flood, w_p = w_p, w_R = w_R)\n",
    "    catch\n",
    "        f_val = 100.0\n",
    "#         info(\"Objective function did not converge!\")\n",
    "    end\n",
    "    return f_val\n",
    "end\n",
    "\n",
    "    \n",
    "function g(x)\n",
    "    eps1 = 1e-4\n",
    "    f_val = f(x)\n",
    "    g_val = ones(length(x))\n",
    "    try\n",
    "        # g_val = Calculus.gradient(x -> error_calc(x, exp_data1, core_props, fluids, core_flood), x)\n",
    "        for j in eachindex(x)\n",
    "            x2 = copy(x)\n",
    "            x2[j]+=eps1\n",
    "            f_val2 = f(x2)\n",
    "            g_val[j] = (f_val2-f_val)/eps1\n",
    "        end\n",
    "    catch\n",
    "        g_val = ones(length(x))\n",
    "    end\n",
    "    return g_val\n",
    "end\n",
    "\n",
    "function obj_fun(param, grad)\n",
    "    if length(grad)>0\n",
    "      grad[:] = g(param)\n",
    "    end\n",
    "    \n",
    "    obj_fun_val = f(param)\n",
    "    if isnan(obj_fun_val) || isinf(obj_fun_val)\n",
    "        obj_fun_val = 100.0\n",
    "    end\n",
    "    return obj_fun_val\n",
    "end\n",
    "\n",
    "# test\n",
    "grad_x = zeros(6)\n",
    "obj_fun([1.0, 0.8, 3, 4, 0.2, 0.2], grad_x)\n",
    "\n",
    "f([1.0, 0.8, 2, 2, 0.1, 0.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6-element Array{Float64,1}:\n",
       "  0.640028 \n",
       " -0.0108829\n",
       " -0.066574 \n",
       "  0.0198171\n",
       " -0.409011 \n",
       "  3.9472   "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## algorithms\n",
    "# L: Local, G:global\n",
    "# D: derivative-based, N: non-derivative (search-based)\n",
    "\n",
    "# :LD_MMA\n",
    "# :LN_COBYLA\n",
    "# :LD_LBFGS\n",
    "# :GN_DIRECT\n",
    "# :GN_DIRECT_L\n",
    "# GN_CRS2_LM\n",
    "# G_MLSL_LDS\n",
    "# GD_STOGO\n",
    "# GN_ISRES\n",
    "# GN_ESCH\n",
    "# LN_NEWUOA_BOUND\n",
    "# LN_BOBYQA\n",
    "# LN_PRAXIS\n",
    "# LN_NELDERMEAD\n",
    "# LN_SBPLX\n",
    "# LD_SLSQP\n",
    "# LD_TNEWTON_PRECOND_RESTART\n",
    "# LD_TNEWTON_RESTART\n",
    "# LD_TNEWTON_PRECOND\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0387473683185253, [0.100673, 0.975192, 1.50001, 3.60052, 0.0500001, 0.151218], :FTOL_REACHED)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = [0.227374, 0.268374, 3.75437, 3.82896, 0.241672, 0.160291]\n",
    "x_lb = [0.1, 0.1, 1.5, 1.5, 0.05, 0.03]\n",
    "x_ub = [1.0, 1.0, 4.0, 4.0, 0.3, 0.25]\n",
    "opt_alg=:LD_SLSQP\n",
    "opt1 = Opt(opt_alg, length(x_init)) # choose the algorithm\n",
    "lower_bounds!(opt1, x_lb)\n",
    "upper_bounds!(opt1, x_ub)\n",
    "ftol_rel!(opt1, 1e-15)\n",
    "ftol_abs!(opt1, 1e-15)\n",
    "\n",
    "min_objective!(opt1, obj_fun)\n",
    "(fObjOpt, paramOpt, flag) = optimize(opt1, x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.9119187393719549"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = paramOpt\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f15558edb50>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_perm_param=[1.0, 0.8, 3, 4, 0.2, 0.2]\n",
    "rel_perms2 = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "FF.visualize(rel_perms2, fluids)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.1.0",
   "language": "julia",
   "name": "julia-1.1"
  },
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